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2001 | 11 | 5 | 1203-1216

Tytuł artykułu

Measuring and maintaining consistency: a hybrid FTF algorithm

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
Due to the versatility as well as its ease of implementation, the Fast Transversal Filters algorithm is attractive for many adaptive filtering applications. However, it is not widely used because of its undesirable tendency to diverge when operating in finite precision arithmetic. To compensate, modifications to the algorithm have been introduced that are either occasional (performed when a predefined condition(s) is violated) or structured as part of the normal update iteration. However, in neither case is any confidence explicitly given that the computed parameters are in fact close to the desired ones. Here, we introduce a time invariant parameter that provides the user with more flexibility in establishing confidence in the consistency of the updated filter parameters. Additionally, we provide evidence through the introduction of a hybrid FTF algorithm that when sufficient time is given prior to catastrophic divergence, the update parameters of the FTF algorithm can be adjusted so that consistency can be acquired and maintained.

Słowa kluczowe

Rocznik

Tom

11

Numer

5

Strony

1203-1216

Opis fizyczny

Daty

wydano
2001

Twórcy

  • Department of Mathematics, University of California, San Diego, La Jolla, California 92093-0112, U.S.A.
  • Department of Mathematics, Tennessee Technological University, Box 5054, Cookeville, TN 38505, U.S.A.
  • QinetiQ ltd., Malvern Technology Center, St. Andrews Road, Malvern Worcs., WR14 3PS, United Kingdom

Bibliografia

  • Chaitin-Chatelin F. and Frayssé V. (1996): Lectures on FinitePrecision Computations. - Philadelphia: SIAM.
  • Cioffi J.M. and Kailath T. (1984): Fast, recursive-least-squares transversalfilters for adaptive filtering. - IEEE Trans. s Acoust. Speech Sign.Process., Vol.32, No.2, pp.304-337.
  • Haykin S. (1991): Adaptive Filter Theory, 2nd Edn. - Englewood Cliffs, NJ: Prentice-Hall.
  • Lin D. (1984): On digital implementation of the fast Kalman algorithms. - IEEE Trans. Acoust. Speech Sign. Process., Vol.32,No.5, pp.998-1005.
  • Regalia P. (1992): Numerical stability issues in fast least-squaresadaptation algorithms. - Opt. Eng., Vol.31, No.6, pp.1144-1152.
  • Slock D.T.M. and Kailath T. (1991): Numerically stable fast transversalfilters for recursive least squares adaptive filtering. - IEEE Trans. Signal Process., Vol.39, No.1, pp.92-114.
  • Slock D.T.M. and Kailath T. (1992): Backward consistency concept andround-off error propagation dynamics in recursive least-squares algorithms. - Opt. Eng., Vol.31, No.6, pp.1153-1169.

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.bwnjournal-article-amcv11i5p1203bwm
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